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Finding the Fourth Proportional to 229,271.54, 315,874.26 and 177,410.31

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Solution

The fourth proportional to 229,271.54, 315,874.26 and 177,410.31 is: 244,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,271.54 : 315,874.26 = 177,410.31 : x
  2. Step 2: Convert to fraction form
    229,271.54/315,874.26 = 177,410.31/x
  3. Step 3: Cross multiply
    229,271.54x = 315,874.26 × 177,410.31
  4. Step 4: Simplify right side
    229,271.54x = 56,039,350,387.62
  5. Step 5: Solve for x
    x = 56,039,350,387.62/229,271.54
  6. Step 6: Final answer
    x = 244,423.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.